The clothes weigh 14.77 kilograms.
Given:
Weight of suitcase = 50 pounds
Towels = 20% of weight
Shoes = 15% of weight
Clothes = 65% of weight
convert pounds to kilograms using proportion:
<u>pounds</u> <u>2.2</u> = <u>50</u>
kilograms 1 x
2.2x = 50 ⇒ x = 50/2.2 ⇒ x = 22.73 kgs
Clothes : 22.73 kgs * 65% = 14.77 kgs
Towels : 22.73 kgs * 20% = 4.55 kgs
Shoes : 22.73 kgs * 15% = 3.41 kgs
No, you can not separate:
ln ( 7 + x ) ≠ ln 7 + ln x
You can separate just if you have a logarithm of multiplication.
For example:
ln ( 7 · x ) = ln 7 + ln x
the question in English
Draw a rectangle having the base congruent to the nine sevenths of the height.
Let
b-------> the base of rectangle
h-------> the height of rectangle
we know that
b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height
examples
1) for h=7 units
b=(9/7)*7-------->b=9 units
the dimensions are 9 units x 7 units------> see the attached figure
2) for h=5 units
b=(9/7)*5-------->b=(45/7) units
the dimensions are (45/7) units x 5 units
The answer in Italian
Facciamo
b-------> base del rettangolo
h-------> altezza del rettangolo
Noi sappiamo che
b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza
esempi
1) per h=7 units
b=(9/7)*7-------->b=9 units
le dimensioni sono 9 units x 7 units----->
vedere la figura allegata
2) per h=5 units
b=(9/7)*5-------->b=(45/7) units
le dimensioni sono (45/7) units x 5 units
The x coefficient is 2
Take half of 2 to get 2/2 = 1
Square 1 to get 1^2 = 1
Add and subtract 1 to the expression. This is the same as adding 0.
x^2 + 2x + 2
x^2 + 2x + 2 + 0
x^2 + 2x + 2 + (1-1)
(x^2 + 2x + 1) + 2 - 1
(x+1)^2 + 1
Answer: (x+1)^2 + 1